Choose the One Alternative That Best Completes the Statement or Answers

question 399

Multiple Choice

Choose the one alternative that best completes the statement or answers the question.
-In a Psychology class, the students were tested at the end of the course on a final exam. Then they were retested with an equivalent test at subsequent time intervals. Their average scores after t months are given in the table.
$\begin{array}{l|ccccc}\text { Time, } \text { (in months) } & 1 & 2 & 3 & 4 & 5 \\\hline \text { Score, } \mathrm{y} \text { (in percentage) } & 86.2 & 85.7 & 85.4 & 85.2 & 85.0\end{array}$
Using a graphing utility, fit a logarithmic function $y = a + b \ln x$ to the data. Using the function you found, estin how long will it take for the test scores to fall below $84 \%$ . Express your answer to the nearest month.

• A) 8 months
• B) 12 months
• C) 20 months
• D) 10 months

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Definitions:

Autonomously

Acting independently or having the freedom to make one's own decisions without external control.

Learning Pace

The speed or rate at which an individual absorbs, processes, and retains new information or skills.

Freeze Moment

A point in time when an individual becomes momentarily unable to act or respond due to surprise, fear, or uncertainty.

Competence Stage

A phase in the learning process where an individual becomes capable of performing a skill with proficiency, often after much practice and learning.